First-order intertwining operators with position dependent mass and η-weak-pseudo-Hermiticity generators

نویسنده

  • Omar Mustafa
چکیده

A Hermitian and an anti-Hermitian first-order intertwining operators are introduced and a class of η-weak-pseudo-Hermitian positiondependent mass (PDM) Hamiltonians are constructed. A corresponding reference-target η-weak-pseudo-Hermitian PDM – Hamiltonians’ map is suggested. Some η-weak-pseudo-Hermitian PT -symmetric Scarf II and periodic-type models are used as illustrative examples. Energy-levels crossing and flown-away states phenomena are reported for the resulting Scarf II spectrum. Some of the corresponding η-weak-pseudo-Hermitian Scarf IIand periodic-type-isospectral models (PT -symmetric and nonPT -symmetric) are given as products of the reference-target map. PACS numbers: 03.65.Ge,03.65.Fd,03.65.Ca

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تاریخ انتشار 2008